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<br />The statement about "a single anvil" wiping out
<br />cumuli constitutes a description of an intelligible mecha-
<br />nism of faraway losses of rain caused by seeding. This
<br />mechanism appears as a specific development of the C-T
<br />hypothesis of James Hughes, the formulation of which
<br />(and our attempt at verification) was published in 1971.
<br />Whether the anvil mechanism accounts for the ob-
<br />served deficiencies of seeded rainfall is a different ques-
<br />tion, which some future studies may resolve. Our studies
<br />suggested a mechanism of faraway effects of local cloud
<br />seeding (Neyman 1975) that is more complex than the
<br />"orphan anvil" mechanism of Simpson and Dennis. Un-
<br />doubtedly, what is intelligible and what is not is a very
<br />subjective matter. A degree of confluence with the ideas
<br />of E.J. Workman, a noted cloud physicist, appears en-
<br />couraging. I regret that for a long time I overlooked his
<br />inspiring article (Workman 1962).
<br />Braham's Table 1 illustrates three points: (a) the
<br />brevity of the information in his article, (b) the practical
<br />consequences of Braham's philosophy, and (c) a differ-
<br />ence between his and my interests in weather modifica-
<br />tion experiments. The information on Whitetop which I
<br />miss in Table 1 is published in Braham and Flueck
<br />(1970), from which I quote two unambiguous state-
<br />ments. One of them reads, "the amount of rain was
<br />distinctly less in the P and NP on seeded days than on
<br />non-seeded days . . ." [here P and NP denote plume and -
<br />nonplume]. It is this finding that causes my regrets about
<br />Braham's persistence in using the non plume as a "con-
<br />trol" area. This finding is not reflected in Braham's
<br />Table 1, "Abbreviated Summary of Project Whitetop
<br />Seeding Results."
<br />The other .unambiguous assertion is: "The observed
<br />differences were substantially larger during the [five]
<br />hours immediately following seeding (-59 to -46%)
<br />than during the 6 seeding hours (-20 to -10%)."
<br />While periods of five and six hours arc mentioned in
<br />Table 1, their relation is not. This fact appears to indicate
<br />a difference between Professor Braham's interests and
<br />mine. I find it curious that, having found that the "post-
<br />seeding" five-hour effects are stronger than those during
<br />the six "seeding hours," Professor Braham was not
<br />tempted to investigate the apparent effects of seeding
<br />that may have occurred during a substantial number of
<br />hours after the end (at 9 P.M.) of the investigated post-
<br />seeding period.
<br />Our own interests are very different. Because of the
<br />clear purpose of cloud seeding in water-deficient regions,
<br />we tend to study the whole experimental unit, such as
<br />24 hours, and we are interested in the whole geographical
<br />area where the effects of seeding can be detected.
<br />In his penultimate paragraph, Braham writes, IISome
<br />statisticians have stated that the lack of randomization
<br />
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<br />Journal of the American Statistical Association, March 1979
<br />
<br />makes it impossible to evaluate' these projects [nonran-
<br />domized operations]. Is this view accepted by most
<br />statisticians"? Earlier, on three different occasions,
<br />Braham refers to an article by John W. Tukey (1977).
<br />This a.rticle begins with the following passage:
<br />
<br />The pressures of ethics and equity on clinical trials have always
<br />been severe. Today they are more vigorous than every before.
<br />Mcmy of us are convinced, by what seems to me very strong
<br />evIdence, that the only 80urce of reliable evidence about the use-
<br />fulness of almost any sort of therapy or surgical interventicm is
<br />thllt obtained from well planned and carefully conducted random-
<br />ized, and when pollSible, double blinded clinical trialB. .. (Em-
<br />phasis added.)
<br />
<br />My own opinion is similar (Neyman 1977a, b).
<br />
<br />REFERENCES
<br />
<br />Braham, Roscoe R., Jr. (1965), "Project Whitetop-Report to the
<br />National Science F'oundation," Department of Geophysical
<br />Sciences, University of Chicago.
<br />- (1966), "Final Report of Project Whitetop," Parts I and II,
<br />mimeographed publieatioIl, Department of Geophysical Sciences,
<br />University of Chicago.
<br />-, and Flueck, John A. (1970), "Some Results of the Whitetop
<br />Experiment," Proceeding8 of the Second National Cunference un
<br />Wea.ther Modification of the A merican Meteorological Society, Santa
<br />Bar~~bara, California.
<br />Lovasich, Jeanne L., Neyman, Jerzy, Scott, Elizabeth L., and Smith,
<br />Jerome A. (1969), "Wind Directions Aloft and Effects of Seeding
<br />on Precipitation in the Whitetop Experiment," Proceeding8 of the
<br />NatiOnal Academy of Science8, 64, 810-817.
<br />-', Neyman, Jerzy, Scott, Elizabeth L., l~nd Wells, Marcella A.
<br />(1971a), "Further Studies of the Whitetop Cloud-Seeding Experi-
<br />ment," Proceedings of the National Academy of ScienceB,' 68,
<br />147..151.
<br />-, Neyman, Jerzy, Scott, Elizabeth L., and Wells; Marcella A.
<br />(1971b), "Hypothetical Explanations of the Negative Apparent
<br />Effects of Cloud Seeding in the Whitetop Experiment," Proceedings
<br />of the National Acadl1my of Sciences, 68, 2643-2646.
<br />Neyman, Jerzy (1975), "Problems of Design and of Evaluation of
<br />Rain Making Experiments," in A Survey of Statistical De8ign and
<br />Linear Models, ed. J.N. Srivastava, Amsterdam: North-Holland
<br />Publishing Co., 443-458.
<br />-- (197790), "A Statistician's View of Weather Modification
<br />Technology (A Review)," Proceeding8 of the National Academy of
<br />Science8, 74, 4714-4121.
<br />-- (1977b), "Experimentation with Weather Control and St&-
<br />tistical Problems Genera.ted by It," in Applicati0n8 of StatiBtic8, ed.
<br />P.R. Krishnaiah, Amsterdam: North-Holland Publishing Co.,
<br />1-25.
<br />--, and Scott, Elizabeth L. (1967), "Note on Techniques of
<br />Ev~Juation of Single Rain Stimulation :Experiments," in Pro-
<br />ceeding8 of the Fifth Berkeley Symp08ium un Mathematical 8ta-
<br />tiBtiu and Probability, V, Berkeley: University of California Press,
<br />371--384.
<br />--, and Scott, Elizabeth L. (1971), "Outlier Proneness of Phe-
<br />nomena and of Related Distributions," in Optimizing M ethod8 in
<br />S~~iBtic8, ed. Jagdish S. Rustagi, New York: Academic Press,
<br />413-430.
<br />Simps:on, Joanne, and Dennis, Arnett S. (1974), "Cumulus Clouds
<br />and Their Modification," in Weather and Climate Modification, ed.
<br />W.N. Hess, New York: John Wiley & Sons, 22~281.
<br />Tukey, John W. (197'7), "Some Thoughts on Clinical Trials, Espe-
<br />cially Problems of Multiplicity," Science, 198,679-684.
<br />Workman, E.J. (1962), "The Problem of Weather Modification,"
<br />Sci.mce, 138, 407-412.
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